Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5599/352,6164/495
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 5599,6164
Greatest Common Factor of Numerators i.e. GCF of 5599,6164 is 1 .
LCM of Denominators means LCM of 352,495 as per the given fractions.
LCM of 352,495 is 15840 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5599,6164
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5599
List of positive integer factors of 5599 that divides 5599 without a remainder.
1,11,509,5599
Factors of 6164
List of positive integer factors of 6164 that divides 6164 without a remainder.
1,2,4,23,46,67,92,134,268,1541,3082,6164
Greatest Common Factor
We found the factors 5599,6164 . The biggest common factor number is the GCF number.
So the greatest common factor 5599,6164 is 1.
Lets's calculate LCM of 352,495
11 | 352, 495 |
32, 45 |
∴ So the LCM of the given numbers is 11 x 32 x 45 = 15840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15840
Therefore, the GCF of Fractions 5599/352,6164/495 is 1/15840
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 352,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(352,495) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(352,495) x common factors =11 x 1 = 11
LCM(352,495) = ( 352 × 495 ) / 11
LCM(352,495) = 174240 / 11
LCM(352,495) = 15840
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 5599/352, 6164/495?
Answer: GCF of Numerators as per given numbers 5599/352, 6164/495 is
GCF of Numerators i.e. for 5599,6164 is 1
LCM of denominators i.e. for 352,495 is 15840.
Thus, GCF of Fractions is 1/15840.Finally, GCF of Fractions for 5599/352, 6164/495 is 1/15840.